A private owned business operates both a drive-in facility and walk-in facility. On a randomly selected day, let X and Y respectively, are the proportions of the time that the drive-in and the walk-in facilities are in use, and suppose that the joint density function of these random variables is:

f(x, y) = 0.4 (2x+3y), 0<x<1, 0 <y <1
= 0, elsewhere.
Find P (0<x <0.5, 0.25 < y < 0.5)